Dirac's Hamiltonian and Bogoliubov's Hamiltonian as representation of the braid group

DOI10.1007/s11128-013-0657-yzbMath1293.81018OpenAlexW2009479631MaRDI QIDQ2454206

Hang Ren, Kang Xue, Taotao Hu

Publication date: 13 June 2014

Published in: Quantum Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11128-013-0657-y

zbMATH Keywords

Dirac equationquantum entanglementBerry phasebraid group

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Quantum coherence, entanglement, quantum correlations (81P40)

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